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(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .

(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .
Transcribed Image Text:(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .
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